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Finding the Fourth Proportional to 14,965.24, 20,647.74 and 9,663.07

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Solution

The fourth proportional to 14,965.24, 20,647.74 and 9,663.07 is: 13,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.24 : 20,647.74 = 9,663.07 : x
  2. Step 2: Convert to fraction form
    14,965.24/20,647.74 = 9,663.07/x
  3. Step 3: Cross multiply
    14,965.24x = 20,647.74 × 9,663.07
  4. Step 4: Simplify right side
    14,965.24x = 199,520,556.96
  5. Step 5: Solve for x
    x = 199,520,556.96/14,965.24
  6. Step 6: Final answer
    x = 13,332.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.